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Finding the Fourth Proportional to 523,520.75, 785,285.19 and 286,734.26

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Solution

The fourth proportional to 523,520.75, 785,285.19 and 286,734.26 is: 430,103.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,520.75 : 785,285.19 = 286,734.26 : x
  2. Step 2: Convert to fraction form
    523,520.75/785,285.19 = 286,734.26/x
  3. Step 3: Cross multiply
    523,520.75x = 785,285.19 × 286,734.26
  4. Step 4: Simplify right side
    523,520.75x = 225,168,163,917.18
  5. Step 5: Solve for x
    x = 225,168,163,917.18/523,520.75
  6. Step 6: Final answer
    x = 430,103.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.